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Section 3.3

Determine whether the given equation is linear.

-2x-9y=14

Determine if the given equation is a linear equation in two variables.

8x=5y-9

Determine if the equation is linear.

2xy=3

Determine if the equation is linear.

24+4y=0

List (a) the coordinates of any y-intercept and (b) the coordinates of any x-intercept of the following equation. Do not graph.

3x+4y=60

Find the coordinates of any y- intercept and any x-intercept. Do not graph.

y=3

Section 3.4

On May 17, Cliff rented a car with a full tank of gas and 11,598 mi on the odometer. On May 21, he returned the car with 11,766 mi on the odometer. The rental agency charged Cliff $124 and needed 6 gal of gas to fill up the tank. Assume that the pickup time was later in the day than the return time so that no late fees were applied.

Cameron reports to work at 8:00 A.M. and leaves at 6:00 P.M. after typing from the end of page 88 to the end of page 148. His employer pays $180.00 for his work.

Section 3.5

1. On May 17, Cliff rented a car with a full tank of gas and 11,598 mi on the odometer. On May 21, he returned the car with 11,766 mi on the odometer. The rental agency charged Cliff $124 and needed 6 gal of gas to fill up the tank. Assume that the pickup time was later in the day than the return time so that no late fees were applied.

2. Cameron reports to work at 8:00 A.M. and leaves at 6:00 P.M. after typing from the end of page 88 to the end of page 148. His employer pays $180.00 for his work.

Section 3.6

Find the slope and the y-intercept of the line whose equation is given.

12x+4y=5

Find the slope and the y-intercept of the line whose equation is given.

8x-3y=5

Determine whether the pair of equations represents parallel lines.

y=2x+3,

2x+7y=4

Determine whether the pair of equations represents perpendicular lines.

y=5x7,

5y=9x

The equation of a line is y=6/7x+8.

(a) What is the slope of a line parallel to its graph?

(b) What is the slope of a line perpendicular to its graph?

The equation of a line is 22xy=27.

(a) What is the slope of a line parallel to its graph?

(b) What is the slope of a line perpendicular to its graph?

Write a slope-intercept equation of the line whose graph is parallel to y=4x7 and has the y-intercept (0,6).

Write a slope-intercept equation of the line whose graph is perpendicular to 5x+y=0 and has the y-intercept (0,4).

Section 3.7

Write the slope-intercept equation for the line with the given slope that contains the given point.

m=4; (4, 7)

Find an equation of the line having the given slope and containing the given point.

m=2/3, (2,8)

Write the slope-intercept equation for the line with the given slope that contains the given point.

m=3; (-3, -1)

Write an equation of the line that contains the point (0,7) and is parallel to the line y=6x+1.

Write an equation of the line that contains the point (3,2) and is parallel to the line 3x8y=7.

Write an equation of the line that contains the point (4,3) and is perpendicular to the line 2x4y=7.

Write an equation of the line that contains the point (0,8) and is perpendicular to the line 2x5=y.

Write an equation in slope-intercept form of the line satisfying the following conditions.

through (2,7); perpendicular to x=9

Write the slope-intercept equation for the line containing the pair of points (1,7) and (5,3).

Graph the line with slope 13 that passes through the point (3,1).

Suppose the birth rate among teenagers in a certain country, measured in births per 1000 females age 15-19, fell steadily from 62.1 in 1994 to 40.7 in 2006. Graph the given data and determine an equation for the related line. Then use the equation to answer parts (a) and (b).

(a) Calculate the birth rate among teenagers in 1998.

(b) Predict the birth rate among teenagers in 2009.

Suppose college enrollment in a certain country has grown from approximately 14.6 million in 2006 to 17.2 million in 2011. Graph the given data and determine an equation for the related line. Then use the equation to answer parts (a) and (b).

(a) Calculate the college enrollment for 2007.

(b) Predict the college enrollment in 2015.

(a) Calculate the college enrollment for 2007.